Chinese Journal of Electrical Engineering ›› 2019, Vol. 5 ›› Issue (1): 53-66.

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Modified PI Controller with Improved Steady-State Performance and Comparison with PR Controller on Direct Matrix Converters

Jianwei Zhang1, 2, *, Li Li2, David G. Dorrell3, Youguang Guo2   

  1. 1. College of Electric Power, Inner Mongolia University of Technology, Hohhot 010051, China;
    2. Faculty of Engineering and IT, University of Technology Sydney, NSW 2007, Australia;
    3. Howard College Campus, University of KwaZulu-Natal, Durban 4000, South Africa
  • Online:2019-01-20 Published:2019-01-20
  • About author:Jianwei Zhang (S’15) received his bachelor degree in electrical engineering from the Northwest A & F University, Yangling, Shaanxi, China, in 2014. He received his Ph.D. degree in electrical engineering at the University of Technology Sydney (UTS), Sydney, New South Wales, Australia, in 2018. From 2015 to 2018, he has been working as a Casual Academic at the Faculty of Engineering and IT, UTS. In 2018, he joined Inner Mongolia University of Technology, Hohhot, Inner Mongolia, China.
    His research interests include control of power electronic converters, matrix converters, microgrids and AC motor drives.
    Li Li (M’12) was born in Henan, China. He received his B.S. degree from Huazhong University of Science and Technology in 1996, M.S. degree from Tsinghua University in 1999, and Ph.D. degree from University of California, Los Angeles in 2005.
    From 2005 to 2007, he was a research associate at the University of New South Wales at the Australian Defence Force Academy (UNSW@ADFA). From 2007 to 2011, he was a researcher at the National ICT Australia, Victoria Research Laboratory, Department of Electrical and Electronic Engineering, The University of Melbourne. He joined UTS in 2011 and currently he is an Associate Professor. Dr. Li held several visiting positions at Beijing Institute of Technology, Tsinghua University and UNSW@ADFA.
    His interests are control theory and power system control.
    David G. Dorrell (M’95-SM’08) is a native of St. Helens, U.K. He received the B.Eng. (Hons.) degree in electrical and electronic engineering from the University of Leeds, Leeds, U.K., in 1988; the M.Sc. degree in power electronics engineering from the University of Bradford, Bradford, U.K., in 1989; and the Ph.D. degree in engineering from the University of Cambridge, Cambridge, U.K., in 1993.
    Since 2015, he has been Professor of Electrical Machines with the University of KwaZulu-Natal, Durban, South Africa. He is also the Director of the EPPEI Specialization Centre of HVDC and FACTS, UKZN. He has held lecturing positions at Robert Gordon University, Aberdeen, U.K., and the University of Reading, Reading, U.K. He was a Senior Lecturer at the University of Glasgow, Glasgow, U.K., for several years. In 2008, he took up a post as a Senior Lecturer at the University of Technology Sydney, Ultimo, NSW, Australia, and he was promoted to an Associate Professor in 2009. He is also an Adjunct Associate Professor with National Cheng Kung University, Tainan, Taiwan. His research interests include the design and analysis of various electrical machines, and also renewable energy systems.
    Dr. Dorrell is a Chartered Engineer in the U.K. and also a fellow of the Institution of Engineering and Technology.
    Youguang Guo (S’02-M’05-SM’06) received the B.E. degree from Huazhong University of Science and Technology, China in 1985, the M.E. degree from Zhejiang University, China in 1988, and the Ph.D. degree from University of Technology, Sydney (UTS), Australia in 2004, all in electrical engineering.
    He is currently an associate professor at UTS. His research fields include measurement and modeling of properties of magnetic materials, numerical analysis of electromagnetic field, electrical machine design optimization, power electronic drives and control.

Abstract: This paper proposes a modified proportional-integral (PI) controller and compares it with a proportional-resonant (PR) controller. These controllers are tested on a three-phase direct matrix converter (MC). The modified PI controller involves current feedforward together with space vector modulation (SVM) to control the MC output currents. This controller provides extra control flexibility in terms of the current error reduction, and it gives improved steady-state tracking performance. When the coefficient of current feedforward is equal to the load resistor (K = R), the steady-state error is effectively minimized even when regulating sinusoidal variables. The total harmonic distortion is also reduced. In order to comparatively evaluate the modified PI controller, a PR controller is designed and tested. Both the modified PI and PR controllers are implemented in the natural frame (abc) in a straightforward manner. This removes the coordinate transformations that are required in the stationary (αβ) and synchronous (dq) reference frame based control strategies. In addition, both controllers can handle the unbalanced conditions. The experimental and simulation results verify the feasibility and effectiveness of the proposed controllers.

Key words: Matrix converter, AC-AC conversion, steady-state error, PI controller, PR controller